Greatest Common Factor of 3216/53, 6969/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3216/53, 6969/344

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 3216/53,6969/344

Given fractions are 3216/53,6969/344

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3216,6969

Greatest Common Factor of Numerators i.e. GCF of 3216,6969 is 3 .

LCM of Denominators means LCM of 53,344 as per the given fractions.

LCM of 53,344 is 18232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3216,6969

GCF of Fractions 3216/53,6969/344 is 3/18232

3 3216, 6969
1072, 2323

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3216,6969 By Matching Biggest Common Factor Method

Greatest Common Factor of 3216,6969 By Matching Biggest Common Factor Method

Factors of 3216

List of positive integer factors of 3216 that divides 3216 without a remainder.

1,2,3,4,6,8,12,16,24,48,67,134,201,268,402,536,804,1072,1608,3216

Factors of 6969

List of positive integer factors of 6969 that divides 6969 without a remainder.

1,3,23,69,101,303,2323,6969

Greatest Common Factor

We found the factors 3216,6969 . The biggest common factor number is the GCF number.
So the greatest common factor 3216,6969 is 3.

Lets's calculate LCM of 53,344

Given numbers has no common factors except 1. So, there LCM is their product i.e 18232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18232

Therefore, the GCF of Fractions 3216/53,6969/344 is 3/18232

Least Common Multiple of 53,344 with GCF Formula

Least Common Multiple of 53,344 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 53,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,344) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(53,344) x common factors =1 x 1 = 1

LCM(53,344) = ( 53 × 344 ) / 1

LCM(53,344) = 18232 / 1

LCM(53,344) = 18232


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3216/53, 6969/344

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 3216/53, 6969/344?

Answer: GCF of Numerators as per given numbers 3216/53, 6969/344 is

GCF of Numerators i.e. for 3216,6969 is 3

LCM of denominators i.e. for 53,344 is 18232.

Thus, GCF of Fractions is 3/18232.Finally, GCF of Fractions for 3216/53, 6969/344 is 3/18232.